Statement A: The temperature of the gas remains unaltered when it undergoes an adiabatic expansion. Statement B: Heat energy is exchanged between a system and its surrounding during an adiabatic process.
Statement A: The temperature of the gas remains unaltered when it undergoes an adiabatic expansion. Statement B: Heat energy is exchanged between a system and its surrounding during an adiabatic process. Correct Answer Both A and B are false
The correct answer is option 4) i.e. Both A and B are false
CONCEPT:
- Adiabatic expansion: An adiabatic process is where no heat is exchanged between the system and surrounding. This causes the compression of the gas.
- Here, there is a change in volume due to internal work done on the gas.
- Hence, the work done is negative.
EXPLANATION:
- Heat is not exchanged in an adiabatic process. Statement B is false.
From the first law of thermodynamics, ΔU = Q - W
- In an adiabatic process, the heat exchanged will be zero
⇒ Q = 0. Thus, ΔU = -W
Work done by a gas is given by:
W = P × ΔV
Where P is the pressure and ΔV is the change in volume of the gas.
- During adiabatic expansion, the volume increases, and thus, work done increases.
- Therefore, it will have lower internal energy ΔU. Since internal energy is a measure of temperature, the temperature decreases during adiabatic expansion. Statement A is false.
- Thus, both statements are false.
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Feb 20, 2025